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Q: Why does a straight line on a graph show a constant rate of change?
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How do you tell whether a graph shows a constant or variable rate of change?

The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.


Is the first derivative of a function is a constant then its graph is?

A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.


How do you know if a function has a constant or variable rate of change?

If the graph is a non-vertical straight line, then the rate of change is constant. If the line is curved, then the rate of change (slope) varies.


Why is the distance time graph a straight line for?

A straight line on a distance - time graph represents a "constant velocity".


How can a position time graph show if an object has constant acceleration?

A position-time graph with a straight line indicates constant acceleration. The slope of the line represents the acceleration, which is constant if the slope remains the same throughout the graph. A steeper slope indicates a greater acceleration, while a shallower slope indicates a smaller acceleration.


How do you create a straight line that slopes up on a position-time graph?

A straight line with a positive slope on a position-time graph is the graph of an object that's moving in a straight line with constant speed.


How is constant speed shown on a graph?

On a distance-time graph, a straight line with a constant positive slope represents constant speed. The steeper the line, the greater the speed. Time is on the x-axis and distance is on the y-axis.


How do you graph a constant?

The graph of y = c, a constant will be a straight line parallel to the x-axis and c units from it..


What will you say about motion of body if distance time graph is straight line having constant angel with time axis?

If the distance-time graph is a straight line with a constant angle with the time axis, it indicates that the body is moving with a constant speed. The slope of the line represents the speed of the body.


What is the distance-time graph for constant speed?

straight line


What is a graph of uniform velocity?

A graph of uniform velocity would be a straight line with a constant slope, indicating that the object is moving at a constant speed in a straight line without changing its velocity.


A straight line on a distance time graph represents what type of speed?

A straight line on a distance-time graph represents a constant speed.